Question: Suppose that for a particular school district in a given year, the average SAT score is 1050 with a standard deviation of 150. (a)What is

  1. Suppose that for a particular school district in a given year, the average SAT score is 1050 with a

standard deviation of 150.

(a)What is the probability that any student sampled at random from the population has an SAT score of at least 1100?

(b)What is the probability that a random sample of 15 students have an average SAT score of at least 1080?

(c)What is the probability that any student sampled at random from the population will have a score between 1000 and 1250?

2.Let X be a normal random variable with mean 18 and variance 8. Find the following probabilities.

(a) P(X21)

(b) P(X>17)

(c) P(15

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